Question

+ 96
The two lines above are parallel and cut by a transversal line. After solving for x, what is the angle measurement of the angle that is in bold?
90 degrees
102 degrees
180 degrees
O 89 degrees

Answer 1

Answer:

90°

Step-by-step explanation:

It looks slightly obvious, but here's the complicated explanation.

Converse of the Consecutive Interior Angles Theorem. Solve.

x+96+x+96=180

Simplify.

2x+192=180

Subtraction Property of Equality (subtract 192 from both sides to isolate 2x).

2x=-12

Division Property of Equality (divide both sides by 2 to isolate x).

x=-6

Now that you have your x value, plug it in into your bolded equation.

x+96

-6+96

Simplify.

90°